What are the values of the trigonometric ratios for this triangle?



Drag the answer into the box to match each ratio.


sinθ =
cosθ =
tanθ =
Answer options:
5/4, 3/4, 3/5, 4/3, 4/5, 5/3

What are the values of the trigonometric ratios for this triangle Drag the answer into the box to match each ratio sinθ cosθ tanθ Answer options 54 34 35 43 45 class=

Respuesta :

we know that
sinθ =opposite leg/hypotenuse 
cosθ=adjacent leg/hypotenuse
tanθ =opposite leg/adjacent leg

in this problem for angle θ
opposite leg= 3
adjacent leg=4
hypotenuse=5
so

the answers are
sinθ =3/5
cosθ=4/5
tanθ =3/5

Answer:

Step-by-step explanation:

As we the trigonometric ratios of the triangle are represented as

[tex]sin\theta =\frac{height}{hypotenuse}[/tex]

[tex]cos\theta =\frac{Base}{hypotenuse}[/tex]

[tex]tan\theta =\frac{height}{base}[/tex]

Now we put the values of height , base and hypotenuse from the given triangle.

[tex]sin\theta =\frac{3}{5}[/tex]

[tex]cos\theta =\frac{4}{5}[/tex]

[tex]tan\theta =\frac{3}{4}[/tex]

Now we can place the answers at the right place.